1996/07/03 by Andrew M. Abrahams, Abrahams, Andrew, Arlen Anderson +5
Mathematics · #Advanced Mathematical Physics Problems #Differential Equations and Boundary Problems #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.gr-qc/9607006
openalex publication_date 1996/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We obtain a system for the spatial metric and extrinsic curvature of a spacelike slice that is hyperbolic non-strict in the sense of Leray and Ohya and is equivalent to the Einstein equations. Its characteristics are the light cone and the normal to the slice for any choice of lapse and shift functions, and it admits a well-posed causal Cauchy problem in a Gevrey class of index α=2. The system becomes quasidiagonal hyperbolic if we posit a certain wave equation for the lapse function, and we can then relate the results to our previously obtained first order symmetric hyperbolic system for general relativity.